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Popular >

simplify ((2-i)/(1+2i))^2

Solution

simplify

(\frac{2 - i}{1 + 2 i})^{2}

Solution

- 1

Solution steps

(\frac{2 - i}{1 + 2 i})^{2}

Simplify

\frac{2 - i}{1 + 2 i} : - i

= (- i)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- i)^{2} = i^{2}

= i^{2}

Apply imaginary number rule:

i^{2} = - 1

= - 1

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Frequently Asked Questions (FAQ)

What is ((2-i)/(1+2i))^2 ?
The solution to ((2-i)/(1+2i))^2 is -1